Cremona's table of elliptic curves

10920 = 2³ · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	10920k	Isogeny class
Conductor	10920	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	4717440000 = 210 · 34 · 54 · 7 · 13	Discriminant
Eigenvalues	2- 3+ 5+ 7+ -4 13+ -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2016,-34020]	[a1,a2,a3,a4,a6]
Generators	[-26:12:1] [54:108:1]	Generators of the group modulo torsion
j	885341342596/4606875	j-invariant
L	5.0012736518383	L(r)(E,1)/r!
Ω	0.71268072345841	Real period
R	3.5087757302935	Regulator
r	2	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	21840p4 87360de3 32760o3 54600bc3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920k3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	+	+	-4	+	-6	-8	0	-2	-4	-6	-10	0	-4	-10	12	-10	-4	16	-10	8	0	6	-2

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Quadratic twists for elliptic curve 10920k3

-4	8	-3	5	-7
21840p4	87360de3	32760o3	54600bc3	76440db3

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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